Search for lepton flavor violation in supersymmetric models via meson decays

Abstract

Considering the constraints from the experimental data on $\mu \to e\gamma$, $\mu \to 3e$, $\mu -e$ conversion etc., we analyze the Lepton Flavor Violating decays $\varphi (J/\Psi ,{\rm Y}(1S))\to e^{+}{\mu }^{-}({\mu }^{+}{\tau }^{-})$ in the scenarios of the minimal supersymmetric extensions of Standard Model with seesaw Mechanism. Numerically, there is parameter space that the LFV processes of $J/\Psi ({\rm Y})\to {\mu }^{+}{\tau }^{-}$ can reach the upper experimental bounds, meanwhile the theoretical predictions on $\mu \to e\gamma$, $\mu \to 3e$, $\mu -e$ conversion satisfy the present experimental bounds. For searching of new physics, Lepton Flavor Violating processes $J/\Psi ({\rm Y})\to {\mu }^{+}{\tau }^{-}$ may be more promising and effective channels.

Comments: 30 pages, 13 figures